Question

tana=2/3 and tanb=1/2, tan (a+b)

Answer 1

as we know tan(a+b)=tan a + tan b/1 - tan a * tan b 
so, tan(a+b)=2/3+1/2 / 1-[2/3 * 1/2]
                    = 7/6 / (1- 1/3) 
                     = 7/6 / 2/3
                     =7/4